How do you find the product of #(q+6)(q+5)#?

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Answer 1 · 2017-02-20T00:04:10

See the entire solution process below:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(q) + color(red)(6))(color(blue)(q) + color(blue)(5))# becomes:

#(color(red)(q) xx color(blue)(q)) + (color(red)(q) xx color(blue)(5)) + (color(red)(6) xx color(blue)(q)) + (color(red)(6) xx color(blue)(5))#

#q^2 + 5q + 6q + 30#

We can now combine like terms:

#q^2 + (5 + 6)q + 30#

#q^2 + 11q + 30#